2 papers
math.NA2020
On the asymptotical regularization for linear inverse problems in presence of white noise
Shuai Lu, Pingping Niu, Frank Werner
We interpret steady linear statistical inverse problems as artificial dynamic systems with white noise and introduce a stochastic differential equation (SDE) system where the inver…
math.AP2018
An inverse random source problem in a stochastic fractional diffusion equation
Pingping Niu, Tapio Helin, Zhidong Zhang
In this work the authors consider an inverse source problem in the following stochastic fractional diffusion equation $$\partial_t^αu(x,t)+\mathcal{A} u(x,t)=f(x)h(t)+g(x) \dot{\ma…